In: Statistics and Probability
In a recent year, Delaware had the highest per capita annual income with $51,803. If the standard deviation is $4850, answer the following questions: Assume that the sample is taken from a large population what is the mean and standard deviation of the sampling distribution of 16 individuals? Round calculations to four places.
A. 51,803 and 4,850
B. 51,803 and 303.1250
C. 3,237.69 and 4,850
D. 51,.803 and 1,212.5
Solution :
Given that ,
mean = = $51,803
standard deviation = = 4850
n = 16
sample distribution of sample mean is ,
=
= 51803
sampling distribution of standard deviation
= / n = 4850 / 16=
= 1,212.5
D. 51,.803 and 1,212.5